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Finding the Fourth Proportional to 16,378.50, 22,601.70 and 9,304.17

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Solution

The fourth proportional to 16,378.50, 22,601.70 and 9,304.17 is: 12,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.50 : 22,601.70 = 9,304.17 : x
  2. Step 2: Convert to fraction form
    16,378.50/22,601.70 = 9,304.17/x
  3. Step 3: Cross multiply
    16,378.50x = 22,601.70 × 9,304.17
  4. Step 4: Simplify right side
    16,378.50x = 210,290,059.09
  5. Step 5: Solve for x
    x = 210,290,059.09/16,378.50
  6. Step 6: Final answer
    x = 12,839.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.